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Finding the Third Proportional to 223,372.50 and 481,735.50

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Solution

The third proportional to 223,372.50 and 481,735.50 is: 1,038,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,372.50 : 481,735.50 = 481,735.50 : x
  2. Step 2: Convert to fraction form
    223,372.50/481,735.50 = 481,735.50/x
  3. Step 3: Cross multiply
    223,372.50x = 481,735.50 × 481,735.50
  4. Step 4: Simplify right side
    223,372.50x = 232,069,091,960.25
  5. Step 5: Solve for x
    x = 232,069,091,960.25/223,372.50
  6. Step 6: Final answer
    x = 1,038,933.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.